Effect of Thermal Gradient on Vibration of Non-uniform Visco-elastic Rectangular Plate

被引：2

作者：

Khanna A. ^{[1
]}

Kaur N. ^{[2
]}

机构：

[1] D. A. V. College, Sadhaura, District - Yamunanagar, 133204, Haryana

[2] School of Physical Sciences, Lovely Professional University, Phagwara, Jalandhar, 144411, Punjab

来源：

Journal of The Institution of Engineers (India): Series C | 2016年 / 97卷 / 02期

基金：

英国科研创新办公室;

关键词：

Aspect ratio; Deflection; Non-homogeneity constant; Taper constant; Thermal gradient; Visco-elastic;

D O I：

10.1007/s40032-015-0212-y

中图分类号：

学科分类号：

摘要：

Here, a theoretical model is presented to analyze the effect of bilinear temperature variations on vibration of non-homogeneous visco-elastic rectangular plate with non-uniform thickness. Non-uniformity in thickness of the plate is assumed linear in one direction. Since plate’s material is considered as non-homogeneous, authors characterized non-homogeneity in poisson ratio and density of the plate’s material exponentially in x-direction. Plate is supposed to be clamped at the ends. Deflection for first two modes of vibration is calculated by using Rayleigh–Ritz technique and tabulated for various values of plate’s parameters i.e. taper constant, aspect ratio, non-homogeneity constants and thermal gradient. Comparison of present findings with existing literature is also provided in tabular and graphical manner. © 2015, The Institution of Engineers (India).

引用

页码：141 / 148

页数：7

共 16 条

[1]

Gupta A.K., Kumar L., Vibration of non-homogeneous visco-elastic circular plate of linearly varying thickness in steady state temperature field, J. Theor. Appl. Math., 48, 1, pp. 255-266, (2010)

[2]

Gupta A.K., Sharma P., Effect of linear thermal gradient on vibrations of trapezoidal plates whose thickness varies parabolically, J. Vib. Control, 18, 3, pp. 395-403, (2010)

[3]

Leissa A.W., Jaber N.A., Vibration of completely free triangular plates, Int. J. Mech. Sci., 34, 8, pp. 605-616, (1992)

[4]

Leissa A.W., US Govt, Printing Office, (1969)

[5]

Khanna A., Arora P., Effect of sinusoidal thickness variation on vibrations of non-homogeneous parallelogram plate with bi-linearly temperature variations, Indian J. Sci. Technol., 6, 9, pp. 5228-5234, (2013)

[6]

Singh B., Hassna S.M., Transverse vibration of triangular plate with arbitrary thickness variation and various boundary conditions, J. Sound Vib., 214, 1, pp. 29-55, (1998)

[7]

Singh B., Saxena V., Transverse vibration of triangular plates with variable thickness, J. Sound Vib., 194, 4, pp. 471-496, (1996)

[8]

Huanga M., Mab X.Q., Sakiyamaa T., Matudaa H., Morita C., Free vibration analysis of orthotropic rectangular plates with variable thickness and general boundary conditions, J. Sound Vib., 288, 4-5, pp. 931-955, (2005)

[9]

Mirza S., Bijlani M., Vibration of triangular plates of variable thickness, Comput. Struct., 21, 6, pp. 1129-1135, (1985)

[10]

Gupta U.S., Lal R., Sharma S., Vibration analysis of non-homogeneous circular plate of nonlinear thickness variation by differential quadrature method, J. Sound Vib., 298, 4-5, pp. 892-906, (2006)

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